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Abstract

We investigate and analyze temporal soliton interactions with a dispersive truncated Airy pulse traveling in a nonlinear fiber at the same center wavelength (or frequency), via split step Fourier numerical simulation. Truncated Airy pulses, which remain self-similar during propagation and have a ballistic trajectory in the retarded time frame, can interact with a nearby soliton by its accelerating wavefront property. We find by tracking the fundamental parameters of the emergent soliton—time position, amplitude, phase and frequency—that they alter due to the primary collision with the Airy main lobe and the continuous co-propagation with the dispersed Airy background. These interactions are found to resemble coherent interactions when the initial time separation is small and incoherent at others. This is due to spectral content repositioning within the Airy pulse, changing the nature of interaction from coherent to incoherent. Following the collision, the soliton intensity oscillates as it relaxes. The initial parameters of the Airy pulse such as initial phase, amplitude and time position are varied to better understand the nature of the interactions.

Fig. 6 Soliton intensity oscillations. (a) Intensity oscillation (intensity ratio of 8% and τ0 = −6). Also shown envelope fit of the form 1/z, (b) Mean intensity of the oscillations with a sinusoidal fit, (c) dependence with respect to the Airy's initial phase for all the time separations (intensity ratio of 8%), (d) Mean intensity for all separations with at 8% intensity ratio for the θ = 0, (with a second order polynomial fit; behavior predominantly linear) .

Fig. 7 Soliton time shift for all initial separations with an 8% intensity ratio for selected phases. (a) τ0 = −6, (b) τ0 = −8, (c) t0 = −10. Note that the scale of the time shift is not identical in all three cases.

Fig. 9 Estimated time shift form, (a) Time shift with respect to Airy's initial amplitude for all initial time separations (θ = 0), Time shift with respect to Airy's initial phase and amplitude with τ0 = −10 and a sinusoidal fit profile .